What is the Greatest Common Factor of 34752 and 34756?

Greatest common factor (GCF) of 34752 and 34756 is 4.

GCF(34752,34756) = 4

We will now calculate the prime factors of 34752 and 34756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34752 and 34756.

How to find the GCF of 34752 and 34756?

We will first find the prime factorization of 34752 and 34756. After we will calculate the factors of 34752 and 34756 and find the biggest common factor number .

Step-1: Prime Factorization of 34752

Prime factors of 34752 are 2, 3, 181. Prime factorization of 34752 in exponential form is:

34752 = 2⁶ × 3¹ × 181¹

Step-2: Prime Factorization of 34756

Prime factors of 34756 are 2, 8689. Prime factorization of 34756 in exponential form is:

34756 = 2² × 8689¹

Step-3: Factors of 34752

List of positive integer factors of 34752 that divides 34752 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 181, 192, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 5792, 8688, 11584, 17376

Step-4: Factors of 34756

List of positive integer factors of 34756 that divides 34752 without a remainder.

1, 2, 4, 8689, 17378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34752 and 34756. The biggest common factor number is the GCF number.
So the greatest common factor 34752 and 34756 is 4.

Also check out the Least Common Multiple of 34752 and 34756